1. 5.2 – Some Probability Rules: Compound Events Independent Events: if one outcome does not affect the outcome of another. – Replacement Dependent Events: the first outcome does affect the outcome of the next. – No Replacement

2. Important Information/Terminology Independent: Dependent: “and” “or” Conditional Probability: P(A, given B occurred) Enberg is AWESOME

3. Multiplication Rules “AND” Multiplication Rule for Independent Events P(A and B) = P(A) ∙ P(B) Multiplication Rule for Dependent Events P(A and B) = P(A) ∙ P(B, given A has occurred) *If P(A) = P(A, given B), then the events are independent. *If P(A) ≠ P(A, given B), then the events are dependent.

4. Guided Exercise #4 and #5 As whole group, turn to page 173-174 – Look-over answers – Whole group clarification

5. Additional Information More than two independent events Mutually Exclusive / Disjoint: if they cannot occur together. P(A and B) = 0

6. Addition Rules “or” Addition Rule for Mutually Exclusive Events: P(A or B) = P(A) + P(B) General Addition Rule for Any Events: P(A or B) = P(A) + P(B) – P(A and B)

7. Guided Exercise #7 and #8 As whole group, turn to page 177-178 – Cover answers – Whole group clarification

8. Guided Exercise #9 As whole group, turn to page 180-181 – Cover answers – Whole group clarification Important Summary on P. 181 in orange box

9. Checkpoint  Compute probabilities of general compound events  Compute probabilities involving independent events or mutually exclusive events  Use survey results to compute conditional probabilities.

10. Homework Read Pages 169-182 – Take notes on what we have not covered Do Problems – Page 182-187 (1-19) odds Check odds in back of book Read and preload 5.3 information – Notes/vocab